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@*
BesselDimensionRepresentation.tmpl
Created by Graham Dennis on 2009-08-11.
Copyright (c) 2009-2012, Graham Dennis
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*@
@extends xpdeint.Geometry.NonUniformDimensionRepresentation
@attr $instanceAttributes = ['_maximum', '_order', '_weightOrder']
@attr $orderOffset = 0
@def besselJFunctionCall($order, $argument)
@if $order in [0, 1]
j${order}($argument)@slurp
@else
jn(${order}, ${argument})@slurp
@end if
@end def
@def gridAndStepAtIndex($index)
@#
const real besselFactor = ${besselJFunctionCall($_weightOrder, c'_besseljzeros_${parent.name}[${index}]')};
const real ${name}_max = ${_maximum};
@#
@super(index)
@#
@end def
@def gridAtIndex($index)
@#
(_besseljzeros_${parent.name}[$index] / _besseljS_${parent.name}) * ${name}_max@slurp
@#
@end def
@def stepWeightAtIndex($index)
@#
2.0 / (besselFactor * besselFactor * _besseljS_${parent.name} * _besseljS_${parent.name}) * ${name}_max * ${name}_max@slurp
@#
@end def
@def indexForSinglePointSample
@#
@# Take the first point, which is close to r=0
0@slurp
@#
@end def
@def createCoordinateVariableForSinglePointSample
@#
${type} ${name} = ${arrayName}[0];
#define d${name} (${stepSizeArrayName}[0] * (${volumePrefactor}))
@#
@end def
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